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Finding the Fourth Proportional to 11,222.64, 16,828.02 and 3,429.36

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Solution

The fourth proportional to 11,222.64, 16,828.02 and 3,429.36 is: 5,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.64 : 16,828.02 = 3,429.36 : x
  2. Step 2: Convert to fraction form
    11,222.64/16,828.02 = 3,429.36/x
  3. Step 3: Cross multiply
    11,222.64x = 16,828.02 × 3,429.36
  4. Step 4: Simplify right side
    11,222.64x = 57,709,338.67
  5. Step 5: Solve for x
    x = 57,709,338.67/11,222.64
  6. Step 6: Final answer
    x = 5,142.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.